can the length 5 cm ,9cm and 13 cm be the dimension of a triangle state the reason for your answer
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We will use the inequality rule where if the sum of two sides is greater than the third side for all three combinations then it is a triangle.
So, 5 + 9 = 14>13 --(i)
5 + 13 = 18>9 --(ii)
9 + 13 = 22>5 --(iii)
So, it can be a triangle.
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